{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 通过前面的代码我们可以看到当参数为高阶的时候，可以发现算法的预测能力比较强；这里通过比较高阶和低阶的时候参数值的变化，提出过拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import warnings\n",
    "import sklearn\n",
    "from sklearn.linear_model import LinearRegression, LassoCV, RidgeCV, ElasticNetCV\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.linear_model.coordinate_descent import ConvergenceWarning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## 设置字符集，防止中文乱码\n",
    "mpl.rcParams['font.sans-serif']=[u'simHei']\n",
    "mpl.rcParams['axes.unicode_minus']=False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "## 创建模拟数据\n",
    "np.random.seed(100)\n",
    "np.set_printoptions(linewidth=1000, suppress=True)\n",
    "N = 10\n",
    "x = np.linspace(0, 6, N) + np.random.randn(N)\n",
    "y = 1.8*x**3 + x**2 - 14*x - 7 + np.random.randn(N)\n",
    "## 将其设置为矩阵\n",
    "x.shape = -1, 1\n",
    "y.shape = -1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# RidgeCV和Ridge的区别是：前者可以进行交叉验证\n",
    "# alphas对应Ridge和Lasso回归公式的λ，l1_ratio对应ElasticNet的P\n",
    "# 由于不知道λ和P 哪个参数好，这里随便设置了一些参数来调试\n",
    "# p的参数过小，有时会报“objective did not converge”参数不收敛异常\n",
    "models = [\n",
    "    Pipeline([\n",
    "            ('Poly', PolynomialFeatures()),\n",
    "            ('Linear', LinearRegression(fit_intercept=False))\n",
    "        ]),\n",
    "    Pipeline([\n",
    "            ('Poly', PolynomialFeatures()),\n",
    "            ('Linear', RidgeCV(alphas=np.logspace(-3,2,50), fit_intercept=False))\n",
    "        ]),\n",
    "    Pipeline([\n",
    "            ('Poly', PolynomialFeatures()),\n",
    "            ('Linear', LassoCV(alphas=np.logspace(-3,2,50), fit_intercept=False))\n",
    "        ]),\n",
    "    Pipeline([\n",
    "            ('Poly', PolynomialFeatures()),\n",
    "            ('Linear', ElasticNetCV(alphas=np.logspace(-3,2,50), l1_ratio=[.1, .5, .7, .9, .95, 1], fit_intercept=False))\n",
    "        ])\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1阶，系数为： [-44.14102611  40.05964256]\n",
      "5阶，系数为： [ -5.60899679 -14.80109301   0.75014858   2.11170671  -0.07724668   0.00566633]\n",
      "9阶，系数为： [-2465.58381316  6108.63817712 -5111.99333504   974.74974891  1078.89649478  -829.50277842   266.13230658   -45.71741587     4.1158274     -0.15281063]\n"
     ]
    },
    {
     "data": {
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OHMHixYsxduxYbNq0Cc8++yx27NhRZRW56lj2ZALEPZuSkpIgCAJGjBiBt956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\nr0M1YsQINm7cSGRkJNdeey3Z2dnl2qZHR0fzk5/85KKvv3b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SSLT7brGWLc0hgR9+CPv3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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbb69400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 线性模型过拟合图形识别\n",
    "plt.figure(facecolor='w')\n",
    "degree = np.arange(1,N,4) # 阶\n",
    "dm = degree.size\n",
    "colors = [] # 颜色\n",
    "for c in np.linspace(16711680, 255, dm):\n",
    "    colors.append('#%06x' % c)\n",
    "\n",
    "model = models[0]\n",
    "for i,d in enumerate(degree):\n",
    "    plt.subplot(int(np.ceil(dm/2.0)),2,i+1)\n",
    "    plt.plot(x, y, 'ro', ms=10, zorder=N)\n",
    "\n",
    "    # 设置阶数\n",
    "    model.set_params(Poly__degree=d)\n",
    "    # 模型训练\n",
    "    model.fit(x, y.ravel())\n",
    "    \n",
    "    lin = model.get_params('Linear')['Linear']\n",
    "    output = u'%d阶，系数为：' % (d)\n",
    "    print output, lin.coef_.ravel()\n",
    "    \n",
    "    x_hat = np.linspace(x.min(), x.max(), num=100) ## 产生模拟数据\n",
    "    x_hat.shape = -1,1\n",
    "    y_hat = model.predict(x_hat)\n",
    "    s = model.score(x, y)\n",
    "    \n",
    "    z = N - 1 if (d == 2) else 0\n",
    "    label = u'%d阶, 正确率=%.3f' % (d,s)\n",
    "    \n",
    "    # alpha参数：图表的填充不透明(0-1)\n",
    "    # 参数详解：http://blog.csdn.net/jinlong_xu/article/details/70175107\n",
    "    plt.plot(x_hat, y_hat, color=colors[i], lw=2, alpha=0.75, label=label, zorder=z)\n",
    "    \n",
    "    plt.legend(loc = 'upper left')\n",
    "    plt.grid(True)\n",
    "    plt.xlabel('X', fontsize=16)\n",
    "    plt.ylabel('Y', fontsize=16)\n",
    "\n",
    "plt.tight_layout(1, rect=(0,0,2,1))\n",
    "plt.suptitle(u'线性回归过拟合显示', fontsize=18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "线性回归:1阶，系数为： [-44.14102611  40.05964256]\n",
      "线性回归:3阶，系数为： [ -6.80525963 -13.743068     0.93453895   1.79844791]\n",
      "线性回归:5阶，系数为： [ -5.60899679 -14.80109301   0.75014858   2.11170671  -0.07724668   0.00566633]\n",
      "线性回归:7阶，系数为： [-41.70721172  52.38570529 -29.56451338  -7.66322829  12.07162703  -3.86969096   0.53286096  -0.02725536]\n",
      "线性回归:9阶，系数为： [-2465.58381316  6108.63817712 -5111.99333504   974.74974891  1078.89649478  -829.50277842   266.13230658   -45.71741587     4.1158274     -0.15281063]\n",
      "Ridge回归:1阶，系数为： [ -6.71593385  29.79090057]\n",
      "Ridge回归:3阶，系数为： [ -6.7819845  -13.73679293   0.92827639   1.79920955]\n",
      "Ridge回归:5阶，系数为： [-0.82920155 -1.07244754 -1.41803017 -0.93057536  0.88319116 -0.07073168]\n",
      "Ridge回归:7阶，系数为： [-1.62586368 -2.18512108 -1.82690987 -2.27495708  0.98685071  0.30551091 -0.10988434  0.00846908]\n",
      "Ridge回归:9阶，系数为： [-10.50566712  -6.12564342  -1.96421973   0.80200162   0.59148104  -0.23358238   0.20296996  -0.0810983    0.01325045  -0.00077212]\n",
      "Lasso回归:1阶，系数为： [ -0.          29.27359177]\n",
      "Lasso回归:3阶，系数为： [ -6.7688595  -13.75928024   0.93989323   1.79778598]\n",
      "Lasso回归:5阶，系数为： [ -0.         -12.00109345  -0.50746853   1.74395236   0.07086952  -0.00583605]\n",
      "Lasso回归:7阶，系数为： [-0.         -0.         -0.         -0.08083315  0.19550746  0.03066137 -0.00020584 -0.00046928]\n",
      "Lasso回归:9阶，系数为： [-0.         -0.         -0.         -0.          0.04439727  0.05587113  0.00109023 -0.00021498 -0.00004479 -0.00000674]\n",
      "ElasticNet:1阶，系数为： [-13.22089654  32.08359338]\n",
      "ElasticNet:3阶，系数为： [ -6.7688595  -13.75928024   0.93989323   1.79778598]\n",
      "ElasticNet:5阶，系数为： [-1.65823671 -5.20271875 -1.26488859  0.94503683  0.2605984  -0.01683786]\n",
      "ElasticNet:7阶，系数为： [-0.         -0.         -0.         -0.15812511  0.22150166  0.02955069 -0.00040066 -0.00046568]\n",
      "ElasticNet:9阶，系数为： [-0.         -0.         -0.         -0.          0.05255118  0.05364699  0.00111995 -0.00020596 -0.00004365 -0.00000667]\n"
     ]
    },
    {
     "data": {
      "image/png": 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Dhgxh/JtvUqNGDbpHRXHu7FlaNGmSqyzxzBmaN27MhbNncx0zJTmZOePH5R/v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uk0jY0mAl9dXc1rr712TH2FrFq1ilWrVgHQ2tpKy9A/3Iepp6fnqI4rpiAwn0ssa/hnk8nkeM7z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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbb69978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 线性回归、Lasso回归、Ridge回归、ElasticNet比较\n",
    "plt.figure(facecolor='w')\n",
    "degree = np.arange(1,N, 2) # 阶\n",
    "dm = degree.size\n",
    "colors = [] # 颜色\n",
    "for c in np.linspace(16711680, 255, dm):\n",
    "    colors.append('#%06x' % c)\n",
    "titles = [u'线性回归', u'Ridge回归', u'Lasso回归', u'ElasticNet']\n",
    "\n",
    "for t in range(4):\n",
    "    model = models[t]\n",
    "    plt.subplot(2,2,t+1)\n",
    "    plt.plot(x, y, 'ro', ms=10, zorder=N)\n",
    "\n",
    "    for i,d in enumerate(degree):\n",
    "        # 设置阶数(多项式)\n",
    "        model.set_params(Poly__degree=d)\n",
    "        # 模型训练\n",
    "        model.fit(x, y.ravel())\n",
    "\n",
    "        # 获取得到具体的算法模型\n",
    "        lin = model.get_params('Linear')['Linear']\n",
    "        # 打印数据\n",
    "        output = u'%s:%d阶，系数为：' % (titles[t],d)\n",
    "        print output, lin.coef_.ravel()\n",
    "\n",
    "        # 产生模拟数据\n",
    "        x_hat = np.linspace(x.min(), x.max(), num=100) ## 产生模拟数据\n",
    "        x_hat.shape = -1,1\n",
    "        # 数据预测\n",
    "        y_hat = model.predict(x_hat)\n",
    "        # 计算准确率\n",
    "        s = model.score(x, y)\n",
    "\n",
    "        # \n",
    "        z = N - 1 if (d == 2) else 0\n",
    "        label = u'%d阶, 正确率=%.3f' % (d,s)\n",
    "        plt.plot(x_hat, y_hat, color=colors[i], lw=2, alpha=0.75, label=label, zorder=z)\n",
    "    \n",
    "    plt.legend(loc = 'upper left')\n",
    "    plt.grid(True)\n",
    "    plt.title(titles[t])\n",
    "    plt.xlabel('X', fontsize=16)\n",
    "    plt.ylabel('Y', fontsize=16)\n",
    "\n",
    "plt.tight_layout(1, rect=(0,0,4,2))\n",
    "plt.suptitle(u'各种不同线性回归过拟合显示', fontsize=22)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 如果结果显示3、5、7、9阶数的正确率都差不多，优先选择阶层少的。因为阶层少，参数少，模型更简单\n",
    "# 看系数就知道，那些有很多值为0的，分别是Lasso和ElasticNet。它们可以用来降维"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
